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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2508.07954 |
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| _version_ | 1866913984433618944 |
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| author | Alshaar, Khoder Alhamwi Mandal, J C |
| author_facet | Alshaar, Khoder Alhamwi Mandal, J C |
| contents | This work presents a new finite volume framework for solid dynamics based on a momentum-deformation formulation. Building on the C-TOUCH methodology [1], a novel Roe-type Riemann solver is developed to enhance the stability and accuracy of hyperbolic conservation law solutions in solids. The approach naturally handles multidimensional problems and provides a foundation for future extensions to nonlinear and fluid-structure interaction cases. Validation against standard two- and three-dimensional linear elasticity benchmarks demonstrates the method's robustness and accuracy relative to traditional displacement-based approaches, highlighting its promise for large-scale dynamic simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Development of a Novel Riemann Solver for Solid Dynamics Alshaar, Khoder Alhamwi Mandal, J C Computational Physics Numerical Analysis This work presents a new finite volume framework for solid dynamics based on a momentum-deformation formulation. Building on the C-TOUCH methodology [1], a novel Roe-type Riemann solver is developed to enhance the stability and accuracy of hyperbolic conservation law solutions in solids. The approach naturally handles multidimensional problems and provides a foundation for future extensions to nonlinear and fluid-structure interaction cases. Validation against standard two- and three-dimensional linear elasticity benchmarks demonstrates the method's robustness and accuracy relative to traditional displacement-based approaches, highlighting its promise for large-scale dynamic simulations. |
| title | Development of a Novel Riemann Solver for Solid Dynamics |
| topic | Computational Physics Numerical Analysis |
| url | https://arxiv.org/abs/2508.07954 |